Question

By the definition of a , AD / BC and AB / DC.
Using, AD as a transversal, ZA and are same-
side interior angles, so they are
Using side as a transversal, ZB and Care
same-side interior angles, so they are supplementary.
Using AB as a transversal, ZA and B are same-side
interior angles, so they are supplementary.
Therefore, ZA is congruent to ZC because they are
supplements of the same angle. Similarly, ZB is
congruent to Z

Answer 1

Answer: #1: D #2: supplementary #3: BC #4:D

Explanation:

correct on e d g e n u i t y

Answer 2

Using, AD as a transversal, ∠A and ∠D are same-side interior angles. The other answers are given below:

• So they are supplementary.
• Using side ∠ BC as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary.
• Addition property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.

What are Supplementary angles?

Two angles are regarded as supplementary when their values are said to add up to 180 degrees.

Note that a parallelogram is  a type of  quadrilateral that has two pairs of parallel sides.

See full question

Given: ABCD is a parallelogram.

Prove: m∠A + m∠B + m∠C + m∠D = 360˚

By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and 1.)∠? are same-side interior angles, so they are 2.) _________________. By the definition of supplementary, m∠A + m∠D = 180. Using side 3.)? as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the 4.) ________________________ property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.

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